Linear Algebra and Elements of Geometry - ELEMENTI DI GEOMETRIA (2015/2016)

Course code
Academic sector
Language of instruction
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
teoria 2 II semestre Nicola Sansonetto
teoria-esercitazioni 4 II semestre Nicola Sansonetto

Lesson timetable

II semestre
Activity Day Time Type Place Note
teoria Monday 2:30 PM - 4:30 PM lesson Lecture Hall C  
teoria Wednesday 11:30 AM - 1:30 PM lesson Lecture Hall C  
teoria Wednesday 2:30 PM - 5:30 PM lesson Lecture Hall E  
teoria Friday 8:30 AM - 11:30 AM lesson Lecture Hall E  

Learning outcomes

First of all, the students are introduced to the language and formal reasoning required for the study of higher mathematics. Furthermore, the main notions and techniques of linear algebra and matrix theory are presented, focussing both on theoretical and computational aspects. Moreover, the course provides an introduction to planar and spatial analytic geometry, within the projective, affine, and euclidean setting. Finally, the main properties of conics will be discussed. Both analytical (coordinates, matrices) and synthetic tools will be employed.


Eigenvalues and eigenvectors. Jordan canonical form. Affine and Euclidean spaces. Lines, planes, hyperplanes. Vector product and mixed product. Affine and isometric transformations. Projective spaces. Geometry of projective plane. Conics.

Assessment methods and criteria

see Linear Algebra

Teaching aids
Title Format (Language, Size, Publication date)
Foglio 8  pdfpdf (it, 87 KB, 23/03/16)
Introduzione  pdfpdf (it, 37 KB, 23/03/16)
Appello del 14/06/2016  pdfpdf (it, 102 KB, 07/07/16)
Appello scritto del 20 luglio 2016  pdfpdf (it, 111 KB, 05/09/16)
Archivio compiti meno recenti  zipzip (it, 4194 KB, 15/04/16)
Archivio compiti recenti  zipzip (it, 710 KB, 15/04/16)
Compitino del 06062016  pdfpdf (it, 98 KB, 07/07/16)
Elementi di Geometria Proiettiva  pdfpdf (it, 527 KB, 11/06/16)
Elementi di Teoria delle Coniche  pdfpdf (it, 1123 KB, 11/06/16)
Esercizi di geometria del piano e dello spazio  pdfpdf (it, 540 KB, 15/04/16)
Foglio 9 di esercizi  pdfpdf (it, 77 KB, 12/04/16)
Note di Geometria Affine ed Euclidea - Complete  pdfpdf (it, 1240 KB, 01/05/16)
Note di Geometria Affine ed Euclidea - Parte 1  pdfpdf (it, 574 KB, 15/04/16)